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Finding the Third Proportional to 42,924.94 and 65,668.22

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Solution

The third proportional to 42,924.94 and 65,668.22 is: 100,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,924.94 : 65,668.22 = 65,668.22 : x
  2. Step 2: Convert to fraction form
    42,924.94/65,668.22 = 65,668.22/x
  3. Step 3: Cross multiply
    42,924.94x = 65,668.22 × 65,668.22
  4. Step 4: Simplify right side
    42,924.94x = 4,312,314,953.80
  5. Step 5: Solve for x
    x = 4,312,314,953.80/42,924.94
  6. Step 6: Final answer
    x = 100,461.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.